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Finding the Third Proportional to 366,708.75 and 583,476

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Solution

The third proportional to 366,708.75 and 583,476 is: 928,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,708.75 : 583,476 = 583,476 : x
  2. Step 2: Convert to fraction form
    366,708.75/583,476 = 583,476/x
  3. Step 3: Cross multiply
    366,708.75x = 583,476 × 583,476
  4. Step 4: Simplify right side
    366,708.75x = 340,444,242,576
  5. Step 5: Solve for x
    x = 340,444,242,576/366,708.75
  6. Step 6: Final answer
    x = 928,377.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.